Math, asked by Anonymous, 1 year ago

Find the condition for one root of the equation ax2 + bx + c = 0 to be thrice of other root
plzz .. be fast today is exam....

Answers

Answered by kvnmurty
5
a x² + b x + c = 0

Root :   α , 3 α
so sum:   4 α = -b/a       =>  α = - b/4a
    product:   3 α² = c/a
                    3 (-b/4a)² = c/a

                    3  b² = 16 c a

This is the condition.


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Answered by duragpalsingh
1
Let one root be x 
then other root will be 3x
x+3x=-b/a ---- 4x=-b/a (i)
x*3x=c/a ---- 3x^2=c/a (ii) 
Substituting x form (i) into (ii)
We get,
3b^2=16ac  ANS...
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